120956392800 has 360 divisors, whose sum is σ = 460288570896. Its totient is φ = 30852264960.

The previous prime is 120956392787. The next prime is 120956392811. The reversal of 120956392800 is 8293659021.

120956392800 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 5 + 639 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1449822 + ... + 1530978.

Almost surely, 2^120956392800 is an apocalyptic number.

120956392800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120956392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230144285448).

120956392800 is an abundant number, since it is smaller than the sum of its proper divisors (339332178096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120956392800 is a wasteful number, since it uses less digits than its factorization.

120956392800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81212 (or 81190 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 120956392800 in words is "one hundred twenty billion, nine hundred fifty-six million, three hundred ninety-two thousand, eight hundred".